2382641856 has 504 divisors, whose sum is σ = 8537387040. Its totient is φ = 632217600.

The previous prime is 2382641843. The next prime is 2382641869. The reversal of 2382641856 is 6581462832.

It is an interprime number because it is at equal distance from previous prime (2382641843) and next prime (2382641869).

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33558301 + ... + 33558371.

It is an arithmetic number, because the mean of its divisors is an integer number (16939260).

Almost surely, 2^2382641856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2382641856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268693520).

2382641856 is an abundant number, since it is smaller than the sum of its proper divisors (6154745184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2382641856 is a wasteful number, since it uses less digits than its factorization.

2382641856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 153 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 2382641856 is about 48812.3125450946. The cubic root of 2382641856 is about 1335.6302776518.

The spelling of 2382641856 in words is "two billion, three hundred eighty-two million, six hundred forty-one thousand, eight hundred fifty-six".